메뉴 건너뛰기




Volumn 111, Issue 5-6, 2003, Pages 1149-1182

The Asymmetric Avalanche Process

Author keywords

Asymmetric exclusion process; Avalanche process; Bethe ansatz; Sandpile model

Indexed keywords


EID: 0037259116     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023048115250     Document Type: Article
Times cited : (40)

References (40)
  • 3
    • 0031097281 scopus 로고    scopus 로고
    • Origins of scale invariance in growth processes
    • J. Krug, Origins of scale invariance in growth processes, Adv. Phys. 46:139 (1997).
    • (1997) Adv. Phys. , vol.46 , pp. 139
    • Krug, J.1
  • 4
    • 0001414241 scopus 로고    scopus 로고
    • Avalanche dynamics in evolution, growth, and depinning models
    • M. Paczuski, S. Maslov, and P. Bak, Avalanche dynamics in evolution, growth, and depinning models, Phys. Rev. E 53:414-443 (1996).
    • (1996) Phys. Rev. E , vol.53 , pp. 414-443
    • Paczuski, M.1    Maslov, S.2    Bak, P.3
  • 5
    • 0012575045 scopus 로고
    • Kinetic roughening phenomena stochastic growth directed polymers and all that
    • T. Halpin-Healy and Y.-C. Zhang, Kinetic roughening phenomena stochastic growth directed polymers and all that, Phys. Rep. 254:215 (1995).
    • (1995) Phys. Rep. , vol.254 , pp. 215
    • Halpin-Healy, T.1    Zhang, Y.-C.2
  • 7
    • 4243603916 scopus 로고
    • Large-distance and long-time properties of a randomly stirred fluid
    • D. Forester, D. R. Nelson, and M. J. Stephen, Large-distance and long-time properties of a randomly stirred fluid, Phys. Rev. A 16:732 (1977).
    • (1977) Phys. Rev. A , vol.16 , pp. 732
    • Forester, D.1    Nelson, D.R.2    Stephen, M.J.3
  • 8
  • 9
    • 0002880483 scopus 로고
    • An exactly solved model for interfacial growth
    • D. Dhar, An exactly solved model for interfacial growth, Phase Trans. 9:51 (1987).
    • (1987) Phase Trans. , vol.9 , pp. 51
    • Dhar, D.1
  • 10
    • 4243450938 scopus 로고
    • Bethe solution for the dynamical-scaling exponent of the noisy Burgers equation
    • L. H. Gwa and H. Spohn, Bethe solution for the dynamical-scaling exponent of the noisy Burgers equation, Phys. Rev. A 46:844 (1992).
    • (1992) Phys. Rev. A , vol.46 , pp. 844
    • Gwa, L.H.1    Spohn, H.2
  • 11
    • 11744342693 scopus 로고    scopus 로고
    • Exact large deviation function in the asymmetric exclusion process
    • B. Derrida and J. L. Lebowitz, Exact large deviation function in the asymmetric exclusion process, Phys. Rev. Lett. 80:209-213 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 209-213
    • Derrida, B.1    Lebowitz, J.L.2
  • 12
    • 0040238394 scopus 로고    scopus 로고
    • Exact solution of the master equation for the asymmetric exclusion process
    • G. M. Schütz, Exact solution of the master equation for the asymmetric exclusion process, J. Stat. Phys. 88(1/2) (1997).
    • (1997) J. Stat. Phys. , vol.88 , Issue.1-2
    • Schütz, G.M.1
  • 13
    • 0002214237 scopus 로고    scopus 로고
    • An exactly soluble non-equilibrium system: The asymmetric simple exclusion model
    • B. Derrida, An exactly soluble non-equilibrium system: The asymmetric simple exclusion model, Phys. Rep. 301:65 (1998).
    • (1998) Phys. Rep. , vol.301 , pp. 65
    • Derrida, B.1
  • 14
    • 0038941179 scopus 로고    scopus 로고
    • Pairwise balance and invariant measures for generalized exclusion processes
    • G. M. Schutz, R. Ramaswamy, and M. Barma, Pairwise balance and invariant measures for generalized exclusion processes, J. Phys. A: Math. Gen. 29:837-843 (1996).
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 837-843
    • Schutz, G.M.1    Ramaswamy, R.2    Barma, M.3
  • 15
    • 0033212059 scopus 로고    scopus 로고
    • A two-parametric family of asymmetric exclusion processes and its exact solution
    • M. Alimohammadi, V. Karimipour, and M. Khorrami, A two-parametric family of asymmetric exclusion processes and its exact solution, J. Stat. Phys. 97:373-394 (1999).
    • (1999) J. Stat. Phys. , vol.97 , pp. 373-394
    • Alimohammadi, M.1    Karimipour, V.2    Khorrami, M.3
  • 16
    • 0032184676 scopus 로고    scopus 로고
    • One-dimensional asymmetric diffusion model without exclusion
    • T. Sasamoto and M. Wadati, One-dimensional asymmetric diffusion model without exclusion, Phys. Rev. E 58:4181-4190 (1998).
    • (1998) Phys. Rev. E , vol.58 , pp. 4181-4190
    • Sasamoto, T.1    Wadati, M.2
  • 17
    • 0034343904 scopus 로고    scopus 로고
    • Exact determination of the phase structure of a multi-species asymmetric exclusion process
    • M. Khorrami, Exact determination of the phase structure of a multi-species asymmetric exclusion process, J. Stat. Phys. 100(5):999-1030 (2000).
    • (2000) J. Stat. Phys. , vol.100 , Issue.5 , pp. 999-1030
    • Khorrami, M.1
  • 18
    • 5844290410 scopus 로고
    • Self-organized criticality: An explanation of the 1/f noise
    • P. Bak, C. Tang, and K. Wiesenfeld, Self-organized criticality: An explanation of the 1/f noise, Phys. Rev. Lett. 59:381 (1987); Phys. Rev. A 38:364 (1988).
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 381
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 19
    • 15744401041 scopus 로고
    • P. Bak, C. Tang, and K. Wiesenfeld, Self-organized criticality: An explanation of the 1/f noise, Phys. Rev. Lett. 59:381 (1987); Phys. Rev. A 38:364 (1988).
    • (1988) Phys. Rev. A , vol.38 , pp. 364
  • 21
    • 0008679518 scopus 로고
    • Two-state model of self-organized criticality
    • S. S. Manna, Two-state model of self-organized criticality, J. Phys. A: Math. Gen. 24(7):L363-L369 (1991).
    • (1991) J. Phys. A: Math. Gen. , vol.24 , Issue.7
    • Manna, S.S.1
  • 22
    • 0034297805 scopus 로고    scopus 로고
    • Absorbing-state phase transitions in fixed-energy sandpiles
    • A. Vespignani, R. Dickman, M. A. Munoz, and S. Zapperi, Absorbing-state phase transitions in fixed-energy sandpiles, Phys. Rev. E 62:4564 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 4564
    • Vespignani, A.1    Dickman, R.2    Munoz, M.A.3    Zapperi, S.4
  • 23
  • 24
    • 0001076627 scopus 로고
    • Exactly solved model of self-organized criticality
    • S. Maslov and Y. C. Zhang, Exactly solved model of self-organized criticality, Phys. Rev. Lett. 75:1550 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1550
    • Maslov, S.1    Zhang, Y.C.2
  • 25
    • 4244148810 scopus 로고    scopus 로고
    • Anisotropic surface growth model in disordered media
    • H. Jeong, B. Kahng, and D. Kim, Anisotropic surface growth model in disordered media, Phys. Rev. Lett. 77:5094-5097 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 5094-5097
    • Jeong, H.1    Kahng, B.2    Kim, D.3
  • 26
    • 0000992702 scopus 로고    scopus 로고
    • Emergent spatial structures in critical sandpiles
    • B. Tadic and D. Dhar, Emergent spatial structures in critical sandpiles, Phys. Rev. Lett. 79:1519-1522 (1997).
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 1519-1522
    • Tadic, B.1    Dhar, D.2
  • 27
    • 0034293957 scopus 로고    scopus 로고
    • Theoretical results for sandpile models of self-organized criticality with multiple topplings
    • M. Paczuski and K. E. Bassler, Theoretical results for sandpile models of self-organized criticality with multiple topplings, Phys. Rev. E 62: 5347-5352 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 5347-5352
    • Paczuski, M.1    Bassler, K.E.2
  • 28
    • 18344373010 scopus 로고    scopus 로고
    • Exact solution of a stochastic directed sandpile model
    • M. Kloster, S. Maslov, and C. Tang, Exact solution of a stochastic directed sandpile model, Phys. Rev. E 63:026111 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 026111
    • Kloster, M.1    Maslov, S.2    Tang, C.3
  • 29
    • 41349094530 scopus 로고    scopus 로고
    • An interface view of directed sandpile dynamics
    • C.-C. Chen and M. den Nijs, An interface view of directed sandpile dynamics, Phys. Rev. E 65:031309 (2002).
    • (2002) Phys. Rev. E , vol.65 , pp. 031309
    • Chen, C.-C.1    Den Nijs, M.2
  • 31
    • 0032589530 scopus 로고    scopus 로고
    • Universal large-deviation function of the Kardar-Parisi-Zhang equation in one dimension
    • B. Derrida and C. Appert, Universal large-deviation function of the Kardar-Parisi-Zhang equation in one dimension, J. Stat. Phys. 94(1):1-30 (1999).
    • (1999) J. Stat. Phys. , vol.94 , Issue.1 , pp. 1-30
    • Derrida, B.1    Appert, C.2
  • 32
    • 0034207254 scopus 로고    scopus 로고
    • Probability distribution of the free energy of a directed polymer in a random medium
    • E. Brunet and B. Derrida, Probability distribution of the free energy of a directed polymer in a random medium, Phys. Rev. E 61(6):6789-6801.
    • Phys. Rev. E , vol.61 , Issue.6 , pp. 6789-6801
    • Brunet, E.1    Derrida, B.2
  • 33
    • 0001288820 scopus 로고
    • Bethe ansatz solution for crossover scaling functions of the asymmetric XYZ chain and the Kardar-Parisi-Zhang type growth model
    • D. Kim, Bethe ansatz solution for crossover scaling functions of the asymmetric XYZ chain and the Kardar-Parisi-Zhang type growth model, Phys. Rev. E 52:3512 (1995).
    • (1995) Phys. Rev. E , vol.52 , pp. 3512
    • Kim, D.1
  • 34
    • 0001628975 scopus 로고    scopus 로고
    • Large deviation function of the partially asymmetric exclusion process
    • D.-S. Lee and D. Kim, Large deviation function of the partially asymmetric exclusion process, Phys. Rev. E 59:6476 (1999).
    • (1999) Phys. Rev. E , vol.59 , pp. 6476
    • Lee, D.-S.1    Kim, D.2
  • 35
    • 0037380763 scopus 로고    scopus 로고
    • Finite size behavior of the asymmetric avalanche process
    • A. M. Povolotsky, V. B. Priezzhev, and C.-K. Hu, Finite size behavior of the asymmetric avalanche process, Physica A 321:280 (2003).
    • (2003) Physica A , vol.321 , pp. 280
    • Povolotsky, A.M.1    Priezzhev, V.B.2    Hu, C.-K.3
  • 36
    • 36049060424 scopus 로고
    • Exact solution of a model of two-dimensional ferroelectrics in an arbitrary external electric field
    • B. Satherland, C. N. Yang, and C. P. Yang, Exact solution of a model of two-dimensional ferroelectrics in an arbitrary external electric field, Phys. Rev. Lett. 19:588 (1967).
    • (1967) Phys. Rev. Lett. , vol.19 , pp. 588
    • Satherland, B.1    Yang, C.N.2    Yang, C.P.3
  • 37
    • 0000219156 scopus 로고
    • The asymmetric six-vertex model
    • I. Nolden, The asymmetric six-vertex model, J. Stat. Phys. 67:155 (1992).
    • (1992) J. Stat. Phys. , vol.67 , pp. 155
    • Nolden, I.1
  • 38
    • 21844502363 scopus 로고
    • The conical point in the ferroelectric six-vertex model
    • D. J. Bukman and J. D. Shore, The conical point in the ferroelectric six-vertex model, J. Stat. Phys. 78:1277 (1995).
    • (1995) J. Stat. Phys. , vol.78 , pp. 1277
    • Bukman, D.J.1    Shore, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.